Question

An alloy of copper and iron weight 6kg 500g.the ratio of copper to iron is 8:5.how much iron does it contains.

Answer 1

Solutions :-


Given :

An alloy of Copper and Iron weight = 6 kg 500 g = 6.5 kg

The ratio of Copper to Iron is 8 : 5


Let the weight of Copper and Iron be 8x and 5x respectively.


A/q

=> 8x + 5x = 6.5
=> 13x = 6.5
=> x = 6.5/13 = 0.5


Therefore,
Copper = 8x = 8 × 0.5 = 4 kg
Iron = 5x = 5 × 0.5 = 2.5 kg = 2 kg 500 g


Hence,
It contains 2 kg 500 g of Iron.

Answer 2

Solutions :-


We have,

Alloy of Copper and Iron weight = 6 kg 500 g = 6500 g

Ratio of Copper to Iron is 8 : 5


Let the weight of Copper be 8x
And Iron be 5x


Find the value of x :-

A/q

=> 8x + 5x = 6500
=> 13x = 6500
=> x = 6500/13 = 500


So,
Copper = 8x = 8 × 500 = 4000 g = 4kg
Iron = 5x = 5 × 500 = 2500 g = 2kg 500g


Answer : It contains Iron = 2500 g or 2 kg 500 g